Trigonometric sums in number theory and analysis
著者
書誌事項
Trigonometric sums in number theory and analysis
（De Gruyter expositions in mathematics, 39）
Walter de Gruyter, c2004
- タイトル別名
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Teoriya kratnykh trigonometricheskikh summ
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注記
Russian original ed.: Published by Nauka, Moscow, 1987
Includes bibliographical references (p. [539]-551) and index
内容説明・目次
内容説明
The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradovs estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis, and in addition they present purely arithmetic results concerning the solvability of equations in integers.
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